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Systems of Navier-Stokes Equations on Cantor Sets

Author

Listed:
  • Xiao-Jun Yang
  • Dumitru Baleanu
  • J. A. Tenreiro Machado

Abstract

We present systems of Navier-Stokes equations on Cantor sets, which are described by the local fractional vector calculus. It is shown that the results for Navier-Stokes equations in a fractal bounded domain are efficient and accurate for describing fluid flow in fractal media.

Suggested Citation

  • Xiao-Jun Yang & Dumitru Baleanu & J. A. Tenreiro Machado, 2013. "Systems of Navier-Stokes Equations on Cantor Sets," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:769724
    DOI: 10.1155/2013/769724
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    Cited by:

    1. Heydari, M.H. & Razzaghi, M. & Avazzadeh, Z., 2021. "Orthonormal shifted discrete Chebyshev polynomials: Application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Kumar, Devendra & Dubey, Ved Prakash & Dubey, Sarvesh & Singh, Jagdev & Alshehri, Ahmed Mohammed, 2023. "Computational analysis of local fractional partial differential equations in realm of fractal calculus," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. Xiaoji Shang & Zhizhen Zhang & Zetian Zhang & J. G. Wang & Yuejin Zhou & Weihao Yang, 2022. "Fractal Analytical Solutions for Nonlinear Two-Phase Flow in Discontinuous Shale Gas Reservoir," Mathematics, MDPI, vol. 10(22), pages 1-14, November.
    4. Dubey, Ved Prakash & Singh, Jagdev & Alshehri, Ahmed M. & Dubey, Sarvesh & Kumar, Devendra, 2022. "An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 296-318.

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